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Finding the Fourth Proportional to 438.79, 658.30 and 164.89

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Solution

The fourth proportional to 438.79, 658.30 and 164.89 is: 247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.79 : 658.30 = 164.89 : x
  2. Step 2: Convert to fraction form
    438.79/658.30 = 164.89/x
  3. Step 3: Cross multiply
    438.79x = 658.30 × 164.89
  4. Step 4: Simplify right side
    438.79x = 108,543.80
  5. Step 5: Solve for x
    x = 108,543.80/438.79
  6. Step 6: Final answer
    x = 247.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.